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Simplifying -3(k + 7) + -1(9 + -6k) = 2k Reorder the terms: -3(7 + k) + -1(9 + -6k) = 2k (7 * -3 + k * -3) + -1(9 + -6k) = 2k (-21 + -3k) + -1(9 + -6k) = 2k -21 + -3k + (9 * -1 + -6k * -1) = 2k -21 + -3k + (-9 + 6k) = 2k Reorder the terms: -21 + -9 + -3k + 6k = 2k Combine like terms: -21 + -9 = -30 -30 + -3k + 6k = 2k Combine like terms: -3k + 6k = 3k -30 + 3k = 2k Solving -30 + 3k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -30 + 3k + -2k = 2k + -2k Combine like terms: 3k + -2k = 1k -30 + 1k = 2k + -2k Combine like terms: 2k + -2k = 0 -30 + 1k = 0 Add '30' to each side of the equation. -30 + 30 + 1k = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1k = 0 + 30 1k = 0 + 30 Combine like terms: 0 + 30 = 30 1k = 30 Divide each side by '1'. k = 30 Simplifying k = 30
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